Answer
Increasing the temperature of 1 mol of octane requires more energy.
Work Step by Step
Octane is 2.22 J/g*K. First we need to convert it to the molar heat capacity so we need to find the molar mass. Octane is C8H18. C is 12g/mol and H is 18g/mol so we have:
12*8 = 96
18*1 = 18
Molar mass of C8H18 = 114 g/mol
Then we convert the heat capacity as follows:
2.22 J/g*K * 114g/mol = 253.08 J/mol*K
For water, the specific heat is 4.18 J/g*K
Water is H2O so we find the molar mass. H is 1 g/mol and O is 16g/mol so H2O is 18 g/mol. The molar heat capaity is then:
4.18 J/g*K * 18g/mol = 75.24 J/mol * K
Since the molar heat capacity of octane is higher, it requires more energy to raise 1 mole by 1K